Short answer: "Target" =/= affected by something. Birthing Pod does not target.

Long answer:The word "target" has a very specific meaning in Magic. In order for something to involve targetting, the word "target" has to appear in the card's Oracle text. Since the word "target" is not present in Birthing Pod's text, no targeting is involved. You will get to search your library for a creature card with converted mana cost equal to 1 plus the converted mana cost of the creature that Phantasmal Image copied.